2(1-2x)-x>3(x+1)+7 eching

$$2 ( 1 - 2 x ) - x > 3 ( x + 1 ) + 7$$

x uchun yechish

$$x<-1$$

Yechim qadamlari

2 ga 1-2x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2-4x-x>3\left(x+1\right)+7$$

-5x ni olish uchun -4x va -x ni birlashtirish.

$$2-5x>3\left(x+1\right)+7$$

3 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2-5x>3x+3+7$$

10 olish uchun 3 va 7'ni qo'shing.

$$2-5x>3x+10$$

Ikkala tarafdan 3x ni ayirish.

$$2-5x-3x>10$$

-8x ni olish uchun -5x va -3x ni birlashtirish.

$$2-8x>10$$

Ikkala tarafdan 2 ni ayirish.

$$-8x>10-2$$

8 olish uchun 10 dan 2 ni ayirish.

$$-8x>8$$

Ikki tarafini -8 ga bo‘ling. -8 manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$x<\frac{8}{-8}$$

-1 ni olish uchun 8 ni -8 ga bo‘ling.

$$x<-1$$